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Finding the Fourth Proportional to 51,205.95, 70,635.27 and 32,052.47

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Solution

The fourth proportional to 51,205.95, 70,635.27 and 32,052.47 is: 44,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.95 : 70,635.27 = 32,052.47 : x
  2. Step 2: Convert to fraction form
    51,205.95/70,635.27 = 32,052.47/x
  3. Step 3: Cross multiply
    51,205.95x = 70,635.27 × 32,052.47
  4. Step 4: Simplify right side
    51,205.95x = 2,264,034,519.44
  5. Step 5: Solve for x
    x = 2,264,034,519.44/51,205.95
  6. Step 6: Final answer
    x = 44,214.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.